882400002 has 48 divisors (see below), whose sum is σ = 1945102656. Its totient is φ = 266666400.

The previous prime is 882399997. The next prime is 882400049. The reversal of 882400002 is 200004288.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304203 + ... + 307089.

It is an arithmetic number, because the mean of its divisors is an integer number (40522972).

Almost surely, 2^882400002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882400002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972551328).

882400002 is an abundant number, since it is smaller than the sum of its proper divisors (1062702654).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

882400002 is a wasteful number, since it uses less digits than its factorization.

882400002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 882400002 is about 29705.2184304374. The cubic root of 882400002 is about 959.1543486115.

The spelling of 882400002 in words is "eight hundred eighty-two million, four hundred thousand, two".